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Only if you're students were already expected to know know some programming, and you're fine making some boilerplate. Students already have so much on their plate as is, so trying to learn an API on top of understanding the concepts may be infeasible.

But students who do try to do that will definitely have a deeper understanding on average.

The latter, too much effort would be spent on non-math stuff. Maybe wouldn't be an impediment, just very inefficient

I think 1-1 oral exams are the most accurate way to assess understanding.